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137327070 = 2354577569
BaseRepresentation
bin10000010111101…
…11000111011110
3100120101221022210
420023313013132
5240123431240
621343221250
73255155316
oct1013670736
9316357283
10137327070
1170576951
1239ba7826
13225b282a
141434a446
15c0c9780
hex82f71de

137327070 has 16 divisors (see below), whose sum is σ = 329585040. Its totient is φ = 36620544.

The previous prime is 137327059. The next prime is 137327077. The reversal of 137327070 is 70723731.

137327070 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 4577569 = 137327070 / (1 + 3 + 7 + 3 + 2 + 7 + 0 + 7 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137327077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2288755 + ... + 2288814.

It is an arithmetic number, because the mean of its divisors is an integer number (20599065).

Almost surely, 2137327070 is an apocalyptic number.

137327070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137327070 is an abundant number, since it is smaller than the sum of its proper divisors (192257970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137327070 is a wasteful number, since it uses less digits than its factorization.

137327070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577579.

The product of its (nonzero) digits is 6174, while the sum is 30.

The square root of 137327070 is about 11718.6633196794. The cubic root of 137327070 is about 515.9235885290.

It can be divided in two parts, 13732 and 7070, that added together give a palindrome (20802).

The spelling of 137327070 in words is "one hundred thirty-seven million, three hundred twenty-seven thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 4577569 9155138 13732707 22887845 27465414 45775690 68663535 137327070